Fractional-period excitations in continuum periodic systems

Creators: Nistazakis, H. E.; Porter, Mason A.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Nicolin, A.; Chin, J. K.

Abstract

We investigate the generation of fractional-period states in continuum periodic systems. As an example, we consider a Bose-Einstein condensate confined in an optical-lattice potential. We show that when the potential is turned on nonadiabatically, the system explores a number of transient states whose periodicity is a fraction of that of the lattice. We illustrate the origin of fractional-period states analytically by treating them as resonant states of a parametrically forced Duffing oscillator and discuss their transient nature and potential observability.

Additional Information

©2006 The American Physical Society. (Received 26 October 2005; revised 8 July 2006; published 18 December 2006) We thank Richard Rand for useful discussions. We also gratefully acknowledge support from the Gordon and Betty Moore Foundation (M.A.P.) and NSF-DMS-0204585, NSFDMS-0505663, NSF-DMS-0619492, and NSF-CAREER (P.G.K.).

Files

NISpra06.pdf

Files (540.7 kB)

Name	Size	Download all
NISpra06.pdf md5:0b490bea089963c79a3d8fc864f46ca6	540.7 kB	Preview Download

Additional details

	All versions	This version
Views	0	0
Downloads	0	0
Data volume	0 Bytes	0 Bytes